The LRC (a bilingual acronym: in English: Light, Rapid, Comfortable; in French: Léger, Rapide, et Confortable) is a series of lightweight diesel-powered passenger trains that were used on short- to medium-distance inter-city service in the Canadian Provinces of Ontario and Quebec.
LRC was designed to run with locomotives, or power cars, at both ends and provide 125 mph (201 km/h) service on non-upgraded railway routes. To accomplish this, the LRC passenger cars feature active-tilt technology to reduce the forces on the passengers when a train travels at high speeds through curves. LRCs have reached speeds as high as 130 mph (210 km/h) on test runs.
On its only regular service route, on the Quebec City–Windsor Corridor, wear concerns, signalling issues and conflicts with slower-moving freight trains limit this to 100 mph (160 km/h) or less. For service at these speeds, a single power car was used. Special signage allowed the LRC to run at higher speeds than normal traffic across a great portion of the Corridor when the tilt system was enabled.
The LRC locomotives and passenger cars are compatible with conventional equipment. While the last LRC locomotive was removed from service on 12 December 2001, the passenger cars are still in widespread use and form the backbone of Via Rail's services, albeit with the tilt system disabled. The same basic car forms the basis of the Acela in the U.S.
I recently got these electrical experiment boards to do some experiments but I am new to doing experiments with such boards. Can someone help? Thanks in advance
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I've been working on designing an experiment over the past few weeks as part of a school project, under the supervision of a teacher.
I have designed a small low-power coil-gun. I have a coil of roughly 60m 24 AWG copper wire wrapped around a length of 2.5cm of clear PVC pipe. I tested the...
Attached is the section from the book. I am doing section 31.3
We know that an AC source gives a sinusoidal varying current, and as far as I know its always given by ##i(t) = Icos(wt)##. Its like we take the current to be the base of all other quantities, so we use it to derive everything else...
Hi all,
In an LRC AC series circuit, at which frequencies are where you are mainly dumping your generator/current energy into capacitor to create electric fields or into the inductor to create magnetic fields? So, for example, at low frequencies, f --> 0, the impedance of the inductor goes to 0...
Problem Statement: A 300-V dc power sup- ply is used to charge a 25-μF capacitor. After the capacitor is fully charged, it is disconnected from the power supply and connected across a 10-mH inductor (at t = 0).
(a) Assume that the resistance in the circuit is negligible. Apply Kirchhoff’s loop...
Homework Statement
Homework EquationsThe Attempt at a Solution
My attempted solution is above and here https://imgur.com/8RmDMf8/
I'm confused as to the answers in the book being i and iii (I just don't see how i is included). If critical damping occurs at the value above, and if you go above...
Homework Statement
With just about any problem asking for "rate at which source is delivering electrical energy to the circuit" or "find the power of the circuit" in a LRC circuit, I get that you have to calculate for the average power. But the multiple equations confuse me - sometimes in...
Homework Statement
How does one show that q(t) is indeed a solution?
Homework EquationsThe Attempt at a Solution
My current idea is that i should come up with any form of solution, like q = Acos(ωt), and slot it in the RHS.
Reason being that if q is indeed a solution, the result of the...
1. The problem statement, all variables, and given/known data
I built a multiloop circuit for a project. The 4.2v is from mini-USB. The 3.7V is a lipo battery. The circuits are A/V Transmitters (LC circuit) which have an impedance of 75 ohms. The resistor is a 470-ohm resistor. I don't think...
Homework Statement
A 35 mH inductor with 1.0 resistance is connected in series to a 20 µF capacitor and a 60 Hz, 40-V (rms) source. Calculate the phase angle.
Homework Equations
tan φ = (XL - XC) / R
The Attempt at a Solution
Solving for φ:
φ = tan -1 [(XL - XC) / R]
XL = 2πfL = 13.194 Ω...
[Note by mentor: this post does not use the homework template because it was originally posted in a non-homework forum.]
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Problem:
What is the average power dissipated by a 25-Ω resistor in an LRC series ac circuit for which the power factor is...
Homework Statement
We have an ordinary LRC circuit with inductance L, capacitance C and resistance R with an oscillating voltage with low frequency (U^e). Using the energy conservation law and Poynting's theorem, find the differential equation:
$$L \frac{\partial ^2}{\partial t^2}I + R...
Homework Statement
Given the circuit below (image uploaded) driven at a frequency ##ω=2πƒ## show that
$$|\frac{v_{out}}{v_{in}}|=\frac{1}{\sqrt{1+(\frac{1}{ωτ_{l}}-ωτ_{c})^2}}$$
where ##τ_{c}=RC## and ##τ_{l}+L/R##
Homework Equations
##Z_R=R##, ##Z_L=jωL## and ##Z_C=-j/ωC## where...
Homework Statement
Locate the poles of the response function \alpha(\omega) in the complex plane for an LRC circuit.
Homework Equations
\alpha(\omega)=\frac{-i\omega}{L}\frac{1}{\omega_0^2-\omega^2-i\omega\gamma}
\omega_0^2=\frac{1}{CL}
\gamma=\frac{R}{L}
The Attempt at a Solution
So we've...
Homework Statement
I have been trying to set up an LRC series circuit where in place of an inductor we have a pair of coupled coils. My aim is to determine the resonant frequency in the circuit when the voltage across the resistor or the current in the circuit is at a maximum. I am using a...
Homework Statement
Hello All,
I have a question:
In a LRC Series circuit:
At what angular frequency is the voltage amplitude across the resistor at a maximum value?
At what angular frequency is the voltage amplitude across the inductor at a maximum value?
Homework Equations
\omega =...
Homework Statement
In the circuit shown in the figure, the switch S is closed at time t=0 with no initial charge on the capacitor. What is the induced emf if the inductor at time t=0?
Homework Equations
ε=-LdI/dt
The Attempt at a Solution
Initially the inductor acts like a broken...
Homework Statement
(image attached)
For the circuit of Fig.30.17 in the textbook, let C = 13.0nF , L = 27.0mH , and R = 80.0Ω .
A). Calculate the oscillation frequency of the circuit once the capacitor has been charged and the switch has been connected to point a
B). How long will...
Homework Statement
How much resistance must be added to a pure LC circuit (L = 340 mH, C = 2200 pF) to change the oscillator's frequency by 0.10 percent?
Will the frequency be increased or decreased?
Homework Equations
I'm assuming critical damping: R^2=4L/C...
Homework Statement
Consider an LRC circuit. L = 3/5, R = 10, C = 1/30, E(t) = 300, Q(0)=0, I(0)=0
i) Find charge and current.
ii) Find maximum charge on the capacitor.
Homework Equations
LQ'' + RQ' +(1/C)Q = E
The Attempt at a Solution
(3/5)Q'' + 10Q' +30Q = 300
For the...
Homework Statement
A series L-R-C circuit consisting of a voltage source, a capacitor of capacitance , an inductor of inductance , and a resistor of resistance is driven with an AC voltage of amplitude and frequency . Define to be the amplitude of the voltage across the resistor and the...
Homework Statement
An oscillator producing 10 volts (rms) at 200 rad/s is connected in series with a 50 Ω resistor, a 400 mH inductor, and a 200 μF capacitor. The rms voltage (in volts) across the inductor is
Homework Equations
Xc=1/wC, Xl=wL, Vrms= Irms(Z), Z=(R^2 +(Xl-Xc)^2)^(1/2)...
Homework Statement
A voltage Δv = (120 V) sin ωt (in SI units) is applied across a series combination of a 2.13 H inductor, a 12.8 μF capacitor, and a 15.0 Ω resistor.
a) Determine the angular frequency, ω0 at which the power delivered to the resistor is a maximum. = 192
b) Calculate the...
Homework Statement
(The τ's are the capacitive and inductive time constants, Q = qmax)
In an LRC circuit with large resistance, show that as t → \infty, q → 0.
When t = 0, q(0) = Q. When t = τL, q(τL) = 2Q(1+e)-1cosh(τL/τC.
Show that q(t) = (Q/1+e)e-t/τC + (Q/1+e-1)e-t/τLet/τC...
Hello!
For those that were with me at signals, I passed the exam, but barley. 10,5 points out 20. Going to cancel that exam and do it again when I have the chance.
But anyway, back to the topic.
I am trying to get the intuition for transient processes in RLC circuits. I was taught...
Well here goes for my first post...
Currently I am trying to build an active integrator.
The circuit is similar to this one...
http://www.art-sci.udel.edu/ghw/phys245/05S/classes/images/opamp-integrator.gif
However, the voltage source is an inductor, and the voltage out goes to an...
Homework Statement
Solve the following forced D.E. (Show work)
L=10 R=20 C=0.01 x(0)=10 x'(0)=0
Homework Equations
This is the second order D.E. for a forced LRC circuit
L(d2x/dt2)+R(dx/dt)+x/C=200sin(t)
The Attempt at a Solution
y=ygeneral+yparticular
I calculated ygeneral...
Homework Statement
An ac voltage source is connected in series with a 1 uF capacitor and a 750 ohm resistor. The amplitude of the voltage source is measured to be 4V rms while the voltages across the resistor and across the capacitor are 3V rms and 2.7V rms respectively. Determine the...
Homework Statement
An AC generator in an LRC circuit produces a voltage V(t) = 1.414sin(wt) = 1.414sin(1000t)
The values of inductance, capacitance, and resistance are shown in the diagram. Recall the w = 2pi*f.
i made a picture of the diagram...
Homework Statement
http://www.screencast.com/users/trinhn812/folders/Jing/media/cdd8b2f4-1c0d-43ba-8722-fb8b811c5585
Homework Equations
V=IR
V(C)=X(C)*R
The Attempt at a Solution
I'm having trouble with number two. I tried finding Z from the frequency and then calculating the...
thank you for any help in advance.
The question is; In a series LRC circuit, find an equation that shows the ratio of Voltage out [the voltage measured over the capacitor] over the voltage in from an A/C source as a function of L R C and omega
Starting with this equation:
Vs = sqrt(VR2...
How do you express impedance in terms of w(omega), R, L and C knowing the circuit diagram.
I understand that for
R Z=R
L Z=iLw
C Z=-i/wC
What is the effect of having components in parallel/series, could someone please give an example of a circuit and it's impedance expression...
Homework Statement
An LRC series circuit with R = 200!, L = 32mH, and C = 2.5μF is
powered by an ac voltage source of peak voltageV0 = 200V and frequency
f = 770Hz. Determine the peak current that flows in this circuit.
Homework Equations
V= IR
-L dI/dT +Q/C = 0
w = 2 pi f...
Hello, I am having some difficulty that I thought some of you might be able to help with.
In the LRC circuit models, the phasor method is used to find the instantaneous values of various properties. I've been having a lot of trouble picturing how this theory actually works in reality.
I...
w=w0^2 - alpha^2
and then take the square root of this.
But I keep getting a negative number and I can't put this under the root symbol. I remeber he discussed this in class but I can't find it in my notes. How do I deal with the negative so I can find the frequency?
Let's say for the:
First 10 milliseconds: Current is 1 milliamp. The squared magnetic field resulting we will call "default".
1 millisecond following, last millisecond: Current is -10 milliamps. The squared magnetic field is -100 * "default".
The time average square of the magnetic...
In differential equations I was assigned a few circuit exercises. I'm having trouble understanding them, but I'm pretty sure that if can understand the first one then I can get the rest of them. The first exercise asks for time of capacitor charge and the others ask for things like capacitor...
I'm having trouble finding an equation for the time constant of an LRC circuit as a function of L, R and C. (In the same way that RC is time constant for an RC circuit) Does anyone know what the equation is?
Thanks!
A circuit was constructed with an inductor, capacitor, and resistor all wired in series. A sinusoidal input signal was put through the circuit and the output voltage was measured across the resistor as a function of the input angular frequency (ω).
My task is to find the transfer function of...
A L-R-C series circuit contains a 1x10^-6 F capacitor, a 7.00 mH coil and a 90 ohm resistor. What is its resonant frequency?
For this one I used the formula for capacitive reactance.
Xc=1/2pi*fC
After doing some algebra i isolated the frequency giving me :
f=(1/Xc)/2pi*C.
So i...
In the diagram, Z1 and Z2 are the impedence of some combinations of L, R and C. The voltage input is placed across AB, and the output voltage is measured across CD. Z1 and Z2 can be designed to make the circuit a filter for output voltage V_CD. However, if we really place a load across CD, it...
In an oscillating LC circuit L = 3.00 mg and C = 2.70 * 10^-6. At t=0 the charge on the capacitor is zero and the current is 2.00 Am.
What is the maximum charge that will appear on the capacitor?
The earliest time where energy stored in the capacitor is the greatest?
What is the greatest...
I'm attempting to construct a demo using an LRC circuit.
Here's the setup:
I currently have three 1000 microF capacitors which I plan to wire in parallel for a combined capacitance of 3000 microF. (maximum voltage for this is 35V, but that shouldn't be a problem). I could get more capacitors...